1// Algorithm extensions -*- C++ -*-
2
3// Copyright (C) 2001-2022 Free Software Foundation, Inc.
4//
5// This file is part of the GNU ISO C++ Library.  This library is free
6// software; you can redistribute it and/or modify it under the
7// terms of the GNU General Public License as published by the
8// Free Software Foundation; either version 3, or (at your option)
9// any later version.
10
11// This library is distributed in the hope that it will be useful,
12// but WITHOUT ANY WARRANTY; without even the implied warranty of
13// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
14// GNU General Public License for more details.
15
16// Under Section 7 of GPL version 3, you are granted additional
17// permissions described in the GCC Runtime Library Exception, version
18// 3.1, as published by the Free Software Foundation.
19
20// You should have received a copy of the GNU General Public License and
21// a copy of the GCC Runtime Library Exception along with this program;
22// see the files COPYING3 and COPYING.RUNTIME respectively.  If not, see
23// <http://www.gnu.org/licenses/>.
24
25/*
26 *
27 * Copyright (c) 1994
28 * Hewlett-Packard Company
29 *
30 * Permission to use, copy, modify, distribute and sell this software
31 * and its documentation for any purpose is hereby granted without fee,
32 * provided that the above copyright notice appear in all copies and
33 * that both that copyright notice and this permission notice appear
34 * in supporting documentation.  Hewlett-Packard Company makes no
35 * representations about the suitability of this software for any
36 * purpose.  It is provided "as is" without express or implied warranty.
37 *
38 *
39 * Copyright (c) 1996
40 * Silicon Graphics Computer Systems, Inc.
41 *
42 * Permission to use, copy, modify, distribute and sell this software
43 * and its documentation for any purpose is hereby granted without fee,
44 * provided that the above copyright notice appear in all copies and
45 * that both that copyright notice and this permission notice appear
46 * in supporting documentation.  Silicon Graphics makes no
47 * representations about the suitability of this software for any
48 * purpose.  It is provided "as is" without express or implied warranty.
49 */
50
51/** @file ext/algorithm
52 *  This file is a GNU extension to the Standard C++ Library (possibly
53 *  containing extensions from the HP/SGI STL subset).
54 */
55
56#ifndef _EXT_ALGORITHM
57#define _EXT_ALGORITHM 1
58
59#pragma GCC system_header
60
61#include <algorithm>
62
63namespace __gnu_cxx _GLIBCXX_VISIBILITY(default)
64{
65_GLIBCXX_BEGIN_NAMESPACE_VERSION
66
67  //--------------------------------------------------
68  // copy_n (not part of the C++ standard)
69
70  template<typename _InputIterator, typename _Size, typename _OutputIterator>
71    std::pair<_InputIterator, _OutputIterator>
72    __copy_n(_InputIterator __first, _Size __count,
73               _OutputIterator __result,
74               std::input_iterator_tag)
75    {
76      for ( ; __count > 0; --__count)
77          {
78            *__result = *__first;
79            ++__first;
80            ++__result;
81          }
82      return std::pair<_InputIterator, _OutputIterator>(__first, __result);
83    }
84
85  template<typename _RAIterator, typename _Size, typename _OutputIterator>
86    inline std::pair<_RAIterator, _OutputIterator>
87    __copy_n(_RAIterator __first, _Size __count,
88               _OutputIterator __result,
89               std::random_access_iterator_tag)
90    {
91      _RAIterator __last = __first + __count;
92      return std::pair<_RAIterator, _OutputIterator>(__last, std::copy(__first,
93                                                                                  __last,
94                                                                                  __result));
95    }
96
97  /**
98   *  @brief Copies the range [first,first+count) into [result,result+count).
99   *  @param  __first  An input iterator.
100   *  @param  __count  The number of elements to copy.
101   *  @param  __result An output iterator.
102   *  @return   A std::pair composed of first+count and result+count.
103   *
104   *  This is an SGI extension.
105   *  This inline function will boil down to a call to @c memmove whenever
106   *  possible.  Failing that, if random access iterators are passed, then the
107   *  loop count will be known (and therefore a candidate for compiler
108   *  optimizations such as unrolling).
109   *  @ingroup SGIextensions
110  */
111  template<typename _InputIterator, typename _Size, typename _OutputIterator>
112    inline std::pair<_InputIterator, _OutputIterator>
113    copy_n(_InputIterator __first, _Size __count, _OutputIterator __result)
114    {
115      // concept requirements
116      __glibcxx_function_requires(_InputIteratorConcept<_InputIterator>)
117      __glibcxx_function_requires(_OutputIteratorConcept<_OutputIterator,
118              typename std::iterator_traits<_InputIterator>::value_type>)
119
120      return __gnu_cxx::__copy_n(__first, __count, __result,
121                                         std::__iterator_category(__first));
122    }
123
124  template<typename _InputIterator1, typename _InputIterator2>
125    int
126    __lexicographical_compare_3way(_InputIterator1 __first1,
127                                           _InputIterator1 __last1,
128                                           _InputIterator2 __first2,
129                                           _InputIterator2 __last2)
130    {
131      while (__first1 != __last1 && __first2 != __last2)
132          {
133            if (*__first1 < *__first2)
134              return -1;
135            if (*__first2 < *__first1)
136              return 1;
137            ++__first1;
138            ++__first2;
139          }
140      if (__first2 == __last2)
141          return !(__first1 == __last1);
142      else
143          return -1;
144    }
145
146  inline int
147  __lexicographical_compare_3way(const unsigned char* __first1,
148                                         const unsigned char* __last1,
149                                         const unsigned char* __first2,
150                                         const unsigned char* __last2)
151  {
152    const std::ptrdiff_t __len1 = __last1 - __first1;
153    const std::ptrdiff_t __len2 = __last2 - __first2;
154    const int __result = __builtin_memcmp(__first1, __first2,
155                                                    (std::min)(__len1, __len2));
156    return __result != 0 ? __result
157                               : (__len1 == __len2 ? 0 : (__len1 < __len2 ? -1 : 1));
158  }
159
160  inline int
161  __lexicographical_compare_3way(const char* __first1, const char* __last1,
162                                         const char* __first2, const char* __last2)
163  {
164#if CHAR_MAX == SCHAR_MAX
165    return __lexicographical_compare_3way((const signed char*) __first1,
166                                                    (const signed char*) __last1,
167                                                    (const signed char*) __first2,
168                                                    (const signed char*) __last2);
169#else
170    return __lexicographical_compare_3way((const unsigned char*) __first1,
171                                                    (const unsigned char*) __last1,
172                                                    (const unsigned char*) __first2,
173                                                    (const unsigned char*) __last2);
174#endif
175  }
176
177  /**
178   *  @brief @c memcmp on steroids.
179   *  @param  __first1  An input iterator.
180   *  @param  __last1   An input iterator.
181   *  @param  __first2  An input iterator.
182   *  @param  __last2   An input iterator.
183   *  @return   An int, as with @c memcmp.
184   *
185   *  The return value will be less than zero if the first range is
186   *  <em>lexigraphically less than</em> the second, greater than zero
187   *  if the second range is <em>lexigraphically less than</em> the
188   *  first, and zero otherwise.
189   *  This is an SGI extension.
190   *  @ingroup SGIextensions
191  */
192  template<typename _InputIterator1, typename _InputIterator2>
193    int
194    lexicographical_compare_3way(_InputIterator1 __first1,
195                                         _InputIterator1 __last1,
196                                         _InputIterator2 __first2,
197                                         _InputIterator2 __last2)
198    {
199      // concept requirements
200      __glibcxx_function_requires(_InputIteratorConcept<_InputIterator1>)
201      __glibcxx_function_requires(_InputIteratorConcept<_InputIterator2>)
202      __glibcxx_function_requires(_LessThanComparableConcept<
203              typename std::iterator_traits<_InputIterator1>::value_type>)
204      __glibcxx_function_requires(_LessThanComparableConcept<
205              typename std::iterator_traits<_InputIterator2>::value_type>)
206      __glibcxx_requires_valid_range(__first1, __last1);
207      __glibcxx_requires_valid_range(__first2, __last2);
208
209      return __lexicographical_compare_3way(__first1, __last1, __first2,
210                                                      __last2);
211    }
212
213  // count and count_if: this version, whose return type is void, was present
214  // in the HP STL, and is retained as an extension for backward compatibility.
215  template<typename _InputIterator, typename _Tp, typename _Size>
216    void
217    count(_InputIterator __first, _InputIterator __last,
218            const _Tp& __value,
219            _Size& __n)
220    {
221      // concept requirements
222      __glibcxx_function_requires(_InputIteratorConcept<_InputIterator>)
223      __glibcxx_function_requires(_EqualityComparableConcept<
224              typename std::iterator_traits<_InputIterator>::value_type >)
225      __glibcxx_function_requires(_EqualityComparableConcept<_Tp>)
226      __glibcxx_requires_valid_range(__first, __last);
227
228      for ( ; __first != __last; ++__first)
229          if (*__first == __value)
230            ++__n;
231    }
232
233  template<typename _InputIterator, typename _Predicate, typename _Size>
234    void
235    count_if(_InputIterator __first, _InputIterator __last,
236               _Predicate __pred,
237               _Size& __n)
238    {
239      // concept requirements
240      __glibcxx_function_requires(_InputIteratorConcept<_InputIterator>)
241      __glibcxx_function_requires(_UnaryPredicateConcept<_Predicate,
242              typename std::iterator_traits<_InputIterator>::value_type>)
243      __glibcxx_requires_valid_range(__first, __last);
244
245      for ( ; __first != __last; ++__first)
246          if (__pred(*__first))
247            ++__n;
248    }
249
250  // random_sample and random_sample_n (extensions, not part of the standard).
251
252  /**
253   *  This is an SGI extension.
254   *  @ingroup SGIextensions
255   *  @doctodo
256  */
257  template<typename _ForwardIterator, typename _OutputIterator,
258             typename _Distance>
259    _OutputIterator
260    random_sample_n(_ForwardIterator __first, _ForwardIterator __last,
261                    _OutputIterator __out, const _Distance __n)
262    {
263      // concept requirements
264      __glibcxx_function_requires(_ForwardIteratorConcept<_ForwardIterator>)
265      __glibcxx_function_requires(_OutputIteratorConcept<_OutputIterator,
266                    typename std::iterator_traits<_ForwardIterator>::value_type>)
267      __glibcxx_requires_valid_range(__first, __last);
268
269      _Distance __remaining = std::distance(__first, __last);
270      _Distance __m = (std::min)(__n, __remaining);
271
272      while (__m > 0)
273          {
274            if ((std::rand() % __remaining) < __m)
275              {
276                *__out = *__first;
277                ++__out;
278                --__m;
279              }
280            --__remaining;
281            ++__first;
282          }
283      return __out;
284    }
285
286  /**
287   *  This is an SGI extension.
288   *  @ingroup SGIextensions
289   *  @doctodo
290  */
291  template<typename _ForwardIterator, typename _OutputIterator,
292             typename _Distance, typename _RandomNumberGenerator>
293    _OutputIterator
294    random_sample_n(_ForwardIterator __first, _ForwardIterator __last,
295                   _OutputIterator __out, const _Distance __n,
296                       _RandomNumberGenerator& __rand)
297    {
298      // concept requirements
299      __glibcxx_function_requires(_ForwardIteratorConcept<_ForwardIterator>)
300      __glibcxx_function_requires(_OutputIteratorConcept<_OutputIterator,
301                    typename std::iterator_traits<_ForwardIterator>::value_type>)
302      __glibcxx_function_requires(_UnaryFunctionConcept<
303                    _RandomNumberGenerator, _Distance, _Distance>)
304      __glibcxx_requires_valid_range(__first, __last);
305
306      _Distance __remaining = std::distance(__first, __last);
307      _Distance __m = (std::min)(__n, __remaining);
308
309      while (__m > 0)
310          {
311            if (__rand(__remaining) < __m)
312              {
313                *__out = *__first;
314                ++__out;
315                --__m;
316              }
317            --__remaining;
318            ++__first;
319          }
320      return __out;
321    }
322
323  template<typename _InputIterator, typename _RandomAccessIterator,
324             typename _Distance>
325    _RandomAccessIterator
326    __random_sample(_InputIterator __first, _InputIterator __last,
327                        _RandomAccessIterator __out,
328                        const _Distance __n)
329    {
330      _Distance __m = 0;
331      _Distance __t = __n;
332      for ( ; __first != __last && __m < __n; ++__m, ++__first)
333          __out[__m] = *__first;
334
335      while (__first != __last)
336          {
337            ++__t;
338            _Distance __M = std::rand() % (__t);
339            if (__M < __n)
340              __out[__M] = *__first;
341            ++__first;
342          }
343      return __out + __m;
344    }
345
346  template<typename _InputIterator, typename _RandomAccessIterator,
347             typename _RandomNumberGenerator, typename _Distance>
348    _RandomAccessIterator
349    __random_sample(_InputIterator __first, _InputIterator __last,
350                        _RandomAccessIterator __out,
351                        _RandomNumberGenerator& __rand,
352                        const _Distance __n)
353    {
354      // concept requirements
355      __glibcxx_function_requires(_UnaryFunctionConcept<
356              _RandomNumberGenerator, _Distance, _Distance>)
357
358      _Distance __m = 0;
359      _Distance __t = __n;
360      for ( ; __first != __last && __m < __n; ++__m, ++__first)
361          __out[__m] = *__first;
362
363      while (__first != __last)
364          {
365            ++__t;
366            _Distance __M = __rand(__t);
367            if (__M < __n)
368              __out[__M] = *__first;
369            ++__first;
370          }
371      return __out + __m;
372    }
373
374  /**
375   *  This is an SGI extension.
376   *  @ingroup SGIextensions
377   *  @doctodo
378  */
379  template<typename _InputIterator, typename _RandomAccessIterator>
380    inline _RandomAccessIterator
381    random_sample(_InputIterator __first, _InputIterator __last,
382                      _RandomAccessIterator __out_first,
383                      _RandomAccessIterator __out_last)
384    {
385      // concept requirements
386      __glibcxx_function_requires(_InputIteratorConcept<_InputIterator>)
387      __glibcxx_function_requires(_Mutable_RandomAccessIteratorConcept<
388              _RandomAccessIterator>)
389      __glibcxx_requires_valid_range(__first, __last);
390      __glibcxx_requires_valid_range(__out_first, __out_last);
391
392      return __random_sample(__first, __last,
393                                   __out_first, __out_last - __out_first);
394    }
395
396  /**
397   *  This is an SGI extension.
398   *  @ingroup SGIextensions
399   *  @doctodo
400  */
401  template<typename _InputIterator, typename _RandomAccessIterator,
402             typename _RandomNumberGenerator>
403    inline _RandomAccessIterator
404    random_sample(_InputIterator __first, _InputIterator __last,
405                      _RandomAccessIterator __out_first,
406                      _RandomAccessIterator __out_last,
407                      _RandomNumberGenerator& __rand)
408    {
409      // concept requirements
410      __glibcxx_function_requires(_InputIteratorConcept<_InputIterator>)
411      __glibcxx_function_requires(_Mutable_RandomAccessIteratorConcept<
412              _RandomAccessIterator>)
413      __glibcxx_requires_valid_range(__first, __last);
414      __glibcxx_requires_valid_range(__out_first, __out_last);
415
416      return __random_sample(__first, __last,
417                                   __out_first, __rand,
418                                   __out_last - __out_first);
419    }
420
421#if __cplusplus >= 201103L
422  using std::is_heap;
423#else
424  /**
425   *  This is an SGI extension.
426   *  @ingroup SGIextensions
427   *  @doctodo
428  */
429  template<typename _RandomAccessIterator>
430    inline bool
431    is_heap(_RandomAccessIterator __first, _RandomAccessIterator __last)
432    {
433      // concept requirements
434      __glibcxx_function_requires(_RandomAccessIteratorConcept<
435                                          _RandomAccessIterator>)
436      __glibcxx_function_requires(_LessThanComparableConcept<
437              typename std::iterator_traits<_RandomAccessIterator>::value_type>)
438      __glibcxx_requires_valid_range(__first, __last);
439
440      return std::__is_heap(__first, __last - __first);
441    }
442
443  /**
444   *  This is an SGI extension.
445   *  @ingroup SGIextensions
446   *  @doctodo
447  */
448  template<typename _RandomAccessIterator, typename _StrictWeakOrdering>
449    inline bool
450    is_heap(_RandomAccessIterator __first, _RandomAccessIterator __last,
451              _StrictWeakOrdering __comp)
452    {
453      // concept requirements
454      __glibcxx_function_requires(_RandomAccessIteratorConcept<
455                                          _RandomAccessIterator>)
456      __glibcxx_function_requires(_BinaryPredicateConcept<_StrictWeakOrdering,
457              typename std::iterator_traits<_RandomAccessIterator>::value_type,
458              typename std::iterator_traits<_RandomAccessIterator>::value_type>)
459      __glibcxx_requires_valid_range(__first, __last);
460
461      return std::__is_heap(__first, __comp, __last - __first);
462    }
463#endif
464
465#if __cplusplus >= 201103L
466  using std::is_sorted;
467#else
468  // is_sorted, a predicated testing whether a range is sorted in
469  // nondescending order.  This is an extension, not part of the C++
470  // standard.
471
472  /**
473   *  This is an SGI extension.
474   *  @ingroup SGIextensions
475   *  @doctodo
476  */
477  template<typename _ForwardIterator>
478    bool
479    is_sorted(_ForwardIterator __first, _ForwardIterator __last)
480    {
481      // concept requirements
482      __glibcxx_function_requires(_ForwardIteratorConcept<_ForwardIterator>)
483      __glibcxx_function_requires(_LessThanComparableConcept<
484              typename std::iterator_traits<_ForwardIterator>::value_type>)
485      __glibcxx_requires_valid_range(__first, __last);
486
487      if (__first == __last)
488          return true;
489
490      _ForwardIterator __next = __first;
491      for (++__next; __next != __last; __first = __next, ++__next)
492          if (*__next < *__first)
493            return false;
494      return true;
495    }
496
497  /**
498   *  This is an SGI extension.
499   *  @ingroup SGIextensions
500   *  @doctodo
501  */
502  template<typename _ForwardIterator, typename _StrictWeakOrdering>
503    bool
504    is_sorted(_ForwardIterator __first, _ForwardIterator __last,
505                _StrictWeakOrdering __comp)
506    {
507      // concept requirements
508      __glibcxx_function_requires(_ForwardIteratorConcept<_ForwardIterator>)
509      __glibcxx_function_requires(_BinaryPredicateConcept<_StrictWeakOrdering,
510              typename std::iterator_traits<_ForwardIterator>::value_type,
511              typename std::iterator_traits<_ForwardIterator>::value_type>)
512      __glibcxx_requires_valid_range(__first, __last);
513
514      if (__first == __last)
515          return true;
516
517      _ForwardIterator __next = __first;
518      for (++__next; __next != __last; __first = __next, ++__next)
519          if (__comp(*__next, *__first))
520            return false;
521      return true;
522    }
523#endif  // C++11
524
525  /**
526   *  @brief Find the median of three values.
527   *  @param  __a  A value.
528   *  @param  __b  A value.
529   *  @param  __c  A value.
530   *  @return One of @p a, @p b or @p c.
531   *
532   *  If @c {l,m,n} is some convolution of @p {a,b,c} such that @c l<=m<=n
533   *  then the value returned will be @c m.
534   *  This is an SGI extension.
535   *  @ingroup SGIextensions
536  */
537  template<typename _Tp>
538    const _Tp&
539    __median(const _Tp& __a, const _Tp& __b, const _Tp& __c)
540    {
541      // concept requirements
542      __glibcxx_function_requires(_LessThanComparableConcept<_Tp>)
543      if (__a < __b)
544          if (__b < __c)
545            return __b;
546          else if (__a < __c)
547            return __c;
548          else
549            return __a;
550      else if (__a < __c)
551          return __a;
552      else if (__b < __c)
553          return __c;
554      else
555          return __b;
556    }
557
558  /**
559   *  @brief Find the median of three values using a predicate for comparison.
560   *  @param  __a     A value.
561   *  @param  __b     A value.
562   *  @param  __c     A value.
563   *  @param  __comp  A binary predicate.
564   *  @return One of @p a, @p b or @p c.
565   *
566   *  If @c {l,m,n} is some convolution of @p {a,b,c} such that @p comp(l,m)
567   *  and @p comp(m,n) are both true then the value returned will be @c m.
568   *  This is an SGI extension.
569   *  @ingroup SGIextensions
570  */
571  template<typename _Tp, typename _Compare>
572    const _Tp&
573    __median(const _Tp& __a, const _Tp& __b, const _Tp& __c, _Compare __comp)
574    {
575      // concept requirements
576      __glibcxx_function_requires(_BinaryFunctionConcept<_Compare, bool,
577                                                                 _Tp, _Tp>)
578      if (__comp(__a, __b))
579          if (__comp(__b, __c))
580            return __b;
581          else if (__comp(__a, __c))
582            return __c;
583          else
584            return __a;
585      else if (__comp(__a, __c))
586          return __a;
587      else if (__comp(__b, __c))
588          return __c;
589      else
590          return __b;
591    }
592
593_GLIBCXX_END_NAMESPACE_VERSION
594} // namespace
595
596#endif /* _EXT_ALGORITHM */
597